What is the Greatest Common Factor of 96045 and 96060?

Greatest common factor (GCF) of 96045 and 96060 is 15.

GCF(96045,96060) = 15

We will now calculate the prime factors of 96045 and 96060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96045 and 96060.

How to find the GCF of 96045 and 96060?

We will first find the prime factorization of 96045 and 96060. After we will calculate the factors of 96045 and 96060 and find the biggest common factor number .

Step-1: Prime Factorization of 96045

Prime factors of 96045 are 3, 5, 19, 337. Prime factorization of 96045 in exponential form is:

96045 = 3¹ × 5¹ × 19¹ × 337¹

Step-2: Prime Factorization of 96060

Prime factors of 96060 are 2, 3, 5, 1601. Prime factorization of 96060 in exponential form is:

96060 = 2² × 3¹ × 5¹ × 1601¹

Step-3: Factors of 96045

List of positive integer factors of 96045 that divides 96045 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 337, 1011, 1685, 5055, 6403, 19209, 32015

Step-4: Factors of 96060

List of positive integer factors of 96060 that divides 96045 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1601, 3202, 4803, 6404, 8005, 9606, 16010, 19212, 24015, 32020, 48030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96045 and 96060. The biggest common factor number is the GCF number.
So the greatest common factor 96045 and 96060 is 15.

Also check out the Least Common Multiple of 96045 and 96060